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Significant Figures

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
What is an example of a number when non-zero digits are always significant? How many significant figures does it have?   show
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How many significant digits does 7003 have? Why?   show
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Why would 0.0071 only have two significant digits?   show
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show 43.00 - four significant figures  
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How many significant digits does 9800 have?   show
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show If zeroes are measured, they are significant by using the scientific notation.  
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show Counted values (i.e 34 students in a class) are considered to be infinitely precise, so they have an infinite number of SD. (1.e. 34 students can also be considered as 34.00000000 students)  
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show Coefficients in a formula are infinitely precise, so they have an infinite number of SD's.  
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show A conversion factor could be anything like 1kg/1000g or 100cm/m. It is infinitely precise.  
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show Since 56.4 has three SD's, then our final number must have 3 significant digits. 2489.2 x 56.4 = 140390.88 (140 000 - 3SD...counted zeroes= 1.40×10>5 final answer  
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How many SD's does 5002 have? why?   show
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How many SD's does 50.002 have? why?   show
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500   show
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When would 500 have two or three Significant Figures? Why?   show
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How many significant figures would 500.0 have? Why?   show
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Round 0.001775 to two Significant figures.   show
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Round 8792 to two Significant Figures.   show
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show The answer can only have as many decimal places. Since 2.1 has the least amount of decimal places, the final answer must be rounded to 1/10 of a decimal place. 3.76+14.83+2.1=20.67 (only need 1 decimal place...rules of rounding makes 20.67=20.7)  
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What is 22.37 x 3.10 x 85.75? Why?   show
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show 0.0005= 5x10>-4 Therefore, only the is significant so there is only 1SF  
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What is (3.45x10>7)(6.25x10>5)? Why?   show
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show 1. Divide coefficients and subtract exponents (0.530303 x 10>4) 2. Change to correct sci.not and round to correct S.D (5.3 x 10>3)  
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What is (3.76 x 10>4)+(5.5 x 10>2)? why?   show
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show Accuracy of a value is how close the measured or experimental value is to the actual/true.predicted value  
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show % error compares measured and actual values. %error=((measured value-actual value)/(actual value))∙100  
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What is the experimental error and hos is it calculated?   show
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show %error= -13% (underestimated measured value by 13%) exp.error= -8g (underestimated exp. value by 8g)  
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show The actual value  
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show a) -9.7% error b) -15lbs Therefore the measured value is too low, or too underestimated.  
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show a) 6.4% b)10lbs (The greater the errors the less accurate a measurement is!)  
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What is precision?   show
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What is the difference between accuracy and precision?   show
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What would be a more precise way of saying 16 years old?   show
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Write the number of SD's for: 24.7kg   show
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show 4  
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Write the number of SD's for: 247.701mg   show
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show 5  
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Write the number of SD's for: 8.930 x 10>5 km   show
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Write the number of SD's for: 2.5 g   show
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show 1  
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show 4  
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How many SF would 2400g have if you had measured the quantity?   show
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show 2SD This is because zeroes after a non-zero number are insignificant, they only act as placeholders  
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Perform the calculation and express the answer in the correct number of sig.figs. 55.671g + 45.78g   show
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show 2.5mm  
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show 1.70L  
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show 3.07ml  
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show 35.2g>2  
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show 0.04kg/L OR 4 x 10>-2  
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Perform the calculation and express the answer in the correct number of sig.figs. 17.51g/2.2cm>3   show
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show 4  
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Write the number of sig.figs for: 308   show
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show 3  
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show 97.88g  
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Perform the calculation and express the answer in the correct number of sig.figs. 32.34km x 93.1km   show
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Perform the calculation and express the answer in the correct number of sig.figs. 66.0ml x 0.031ml   show
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Perform the calculation and express the answer in the correct number of sig.figs. 1.12g/92ml   show
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show 4.0m>2  
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Perform the calculation and express the answer in the correct number of sig.figs. 1.0m/0.3m   show
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Perform the calculation and express the answer in the correct number of sig.figs. 1.0000/0.30000   show
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Perform the calculation and express the answer in the correct number of sig.figs. 1/3.00000000   show
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Perform the calculation and express the answer in the correct number of sig.figs. 1.000000000/3   show
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show 3 x 10>-6  
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What us a micrometer?   show
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show (8 x 10>26)m  
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show 4 x 10>7  
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Perform the calculation: 357.89 - 0.002   show
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Perform the calculation: 84.675 - 3   show
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Is 500m/hr a conversion factor?   show
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